介质的增益与损耗对高功率激光小尺度自聚焦的影响
Analysis of small-scale self-focusing of intense laser in media with gain and loss
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摘要: 由光束在非线性介质中传输所满足的近轴波方程,应用Bespalov Talanov(BT)理论,导出了光束在两种介质中传输时,小尺度不稳定增长所遵循的微分方程。通过对比分析介质的增益和损耗对高功率激光的小尺度自聚焦行为的不同影响,得出了截止频率、最快增长频率、纹波的积分指数增益等特性随各参量的变化,求得了最大和最小的纹波增长的距离,以及介质的增益和损耗特性对成丝距离的影响。Abstract: The differential equation followed by increase of smallscale instability in both of gain and loss media is obtained from the nonlinear wave equation based on Bespalov-Talanov theory. A comparison of different properties of small-scale self-focusing intense laser in two media is analyzed. Variations of cutoff spatial frequency, the fastest growing frequency, integral exponential gain of perturbation with different parameters are specified. Two expressions of maximal and minimal distance of ripple increase are obtained and effect of gain and loss on filamentsforming distance is deduced.
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